Finite Group Databasebeta

← Group #13166792

Character table — Group #13166792

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111144444444488881818242424242424242424242424363636363611114444444448888181824242424242424242424242436363636361111444444444888818182424242424242424242424243636363636
order122233466666612121212442224666666121248888366633126666661212121212126661266666612121224242424366633126666661212121212126661266666612121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-11111-1-11-1-1-1-1111111111111111111111-1-1-1-11111-1-11-1-1-1-1111111111111111111111-1-1-1-11111-1-11-1-1-1-1
χ31111111111111111111-1-11111-1-1-1-1111-1-1-1-11111111111111111111-1-11111-1-1-1-1111-1-1-1-11111111111111111111-1-11111-1-1-1-1111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111-1111111-1-1-1-1111-11-11111-1-1-1-1-111-1-1111111-1111111-1-1-1-1111-11-11111-1-1-1-1-111-1-1111111-1111111-1-1-1-1111-11-11111-1-1-1-1-111-1-1
χ6111111-1111111-1-1-1-1111-1-11-1-111-1-111-1-1-111111111-1111111-1-1-1-1111-1-11-1-111-1-111-1-1-111111111-1111111-1-1-1-1111-1-11-1-111-1-111-1-1-111
χ7111111-1111111-1-1-1-111-111-111-1-111-1-1-1-1-111111111-1111111-1-1-1-111-111-111-1-111-1-1-1-1-111111111-1111111-1-1-1-111-111-111-1-111-1-1-1-1-111
χ8111111-1111111-1-1-1-111-11-11-1-1-1-11111-111-1-1111111-1111111-1-1-1-111-11-11-1-1-1-11111-111-1-1111111-1111111-1-1-1-111-11-11-1-1-1-11111-111-1-1
χ922222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-2000022222222222222222-2-2000000000000-20000
χ10222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000222222-2222222-2-2-2-2-2-200000000000020000
χ112-2-22220-22-2-2-2200002-20000000000000002-22-2-22220-22-2-2-2200002-20000000000000002-22-2-22220-22-2-2-2200002-20000000000000002-2
χ122-2-22220-22-2-2-2200002-2000000000000000-222-2-22220-22-2-2-2200002-2000000000000000-222-2-22220-22-2-2-2200002-2000000000000000-22
χ132-2-22220-22-2-2-220000-2200000000000002-2002-2-22220-22-2-2-220000-2200000000000002-2002-2-22220-22-2-2-220000-2200000000000002-200
χ142-2-22220-22-2-2-220000-220000000000000-22002-2-22220-22-2-2-220000-220000000000000-22002-2-22220-22-2-2-220000-220000000000000-2200
χ1544441-241-2-21-2111-2-2000022-1-10000-1-10000044441-241-2-21-2111-2-2000022-1-10000-1-10000044441-241-2-21-2111-2-2000022-1-10000-1-100000
χ1644441-241-2-21-2111-2-20000-2-2110000110000044441-241-2-21-2111-2-20000-2-2110000110000044441-241-2-21-2111-2-20000-2-21100001100000
χ1744441-2-41-2-21-21-1-12200002-2-1-10000110000044441-2-41-2-21-21-1-12200002-2-1-10000110000044441-2-41-2-21-21-1-12200002-2-1-100001100000
χ1844441-2-41-2-21-21-1-1220000-22110000-1-10000044441-2-41-2-21-21-1-1220000-22110000-1-10000044441-2-41-2-21-21-1-1220000-22110000-1-100000
χ194444-214-211-21-2-2-21100220000-1-1-1-100000004444-214-211-21-2-2-21100220000-1-1-1-100000004444-214-211-21-2-2-21100220000-1-1-1-10000000
χ204444-214-211-21-2-2-21100-2-20000111100000004444-214-211-21-2-2-21100-2-20000111100000004444-214-211-21-2-2-21100-2-2000011110000000
χ214444-21-4-211-21-222-1-1002-20000-1-11100000004444-21-4-211-21-222-1-1002-20000-1-11100000004444-21-4-211-21-222-1-1002-20000-1-1110000000
χ224444-21-4-211-21-222-1-100-22000011-1-100000004444-21-4-211-21-222-1-100-22000011-1-100000004444-21-4-211-21-222-1-100-22000011-1-10000000
χ2344-4-4440-4-4-444-40000000000000000000000044-4-4440-4-4-444-40000000000000000000000044-4-4440-4-4-444-400000000000000000000000
χ2444-4-4-2102-1-1-212003-300000000−i3i3−i3i3000000044-4-4-2102-1-1-212003-300000000−i3i3−i3i3000000044-4-4-2102-1-1-212003-300000000−i3i3−i3i30000000
χ2544-4-4-2102-1-1-212003-300000000i3−i3i3−i3000000044-4-4-2102-1-1-212003-300000000i3−i3i3−i3000000044-4-4-2102-1-1-212003-300000000i3−i3i3−i30000000
χ2644-4-4-2102-1-1-21200-3300000000−i3i3i3−i3000000044-4-4-2102-1-1-21200-3300000000−i3i3i3−i3000000044-4-4-2102-1-1-21200-3300000000−i3i3i3−i30000000
χ2744-4-4-2102-1-1-21200-3300000000i3−i3−i3i3000000044-4-4-2102-1-1-21200-3300000000i3−i3−i3i3000000044-4-4-2102-1-1-21200-3300000000i3−i3−i3i30000000
χ284-44-41-2012-2-12-13i−3i00000000−i3i300003−3000004-44-41-2012-2-12-13i−3i00000000−i3i300003−3000004-44-41-2012-2-12-13i−3i00000000−i3i300003−300000
χ294-44-41-2012-2-12-13i−3i00000000i3−i30000−33000004-44-41-2012-2-12-13i−3i00000000i3−i30000−33000004-44-41-2012-2-12-13i−3i00000000i3−i30000−3300000
χ304-44-41-2012-2-12-1−3i3i00000000−i3i30000−33000004-44-41-2012-2-12-1−3i3i00000000−i3i30000−33000004-44-41-2012-2-12-1−3i3i00000000−i3i30000−3300000
χ314-44-41-2012-2-12-1−3i3i00000000i3−i300003−3000004-44-41-2012-2-12-1−3i3i00000000i3−i300003−3000004-44-41-2012-2-12-1−3i3i00000000i3−i300003−300000
χ324-44-44404-44-4-4-4000000000000000000000004-44-44404-44-4-4-4000000000000000000000004-44-44404-44-4-4-400000000000000000000000
χ3388-8-82-40-2442-4-20000000000000000000000088-8-82-40-2442-4-20000000000000000000000088-8-82-40-2442-4-200000000000000000000000
χ348-88-8-420-4-224-24000000000000000000000008-88-8-420-4-224-24000000000000000000000008-88-8-420-4-224-2400000000000000000000000
χ358-8-882-40-2-44-242000000000000000000000008-8-882-40-2-44-242000000000000000000000008-8-882-40-2-44-24200000000000000000000000
χ368-8-88-42042-24-2-4000000000000000000000008-8-88-42042-24-2-4000000000000000000000008-8-88-42042-24-2-400000000000000000000000
χ37111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ38111111111111111111111-1-1-1-11111-1-11-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32
χ391111111111111111111-1-11111-1-1-1-1111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ401111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ41111111-1111111-1-1-1-1111-11-11111-1-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ42111111-1111111-1-1-1-1111-1-11-1-111-1-111-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32
χ43111111-1111111-1-1-1-111-111-111-1-111-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ44111111-1111111-1-1-1-111-11-11-1-1-1-11111-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32
χ4522222222222222222-2-2000000000000-20000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30000000000001−i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000001+i30000
χ46222222-2222222-2-2-2-2-2-200000000000020000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3000000000000−1+i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3000000000000−1−i30000
χ472-2-22220-22-2-2-2200002-20000000000000002-2−1+i31−i31−i3−1+i3−1+i3−1+i301−i3−1+i31−i31−i31−i3−1+i30000−1+i31−i3000000000000000−1+i31−i3−1−i31+i31+i3−1−i3−1−i3−1−i301+i3−1−i31+i31+i31+i3−1−i30000−1−i31+i3000000000000000−1−i31+i3
χ482-2-22220-22-2-2-2200002-2000000000000000-22−1+i31−i31−i3−1+i3−1+i3−1+i301−i3−1+i31−i31−i31−i3−1+i30000−1+i31−i30000000000000001−i3−1+i3−1−i31+i31+i3−1−i3−1−i3−1−i301+i3−1−i31+i31+i31+i3−1−i30000−1−i31+i30000000000000001+i3−1−i3
χ492-2-22220-22-2-2-220000-2200000000000002-200−1+i31−i31−i3−1+i3−1+i3−1+i301−i3−1+i31−i31−i31−i3−1+i300001−i3−1+i30000000000000−1+i31−i300−1−i31+i31+i3−1−i3−1−i3−1−i301+i3−1−i31+i31+i31+i3−1−i300001+i3−1−i30000000000000−1−i31+i300
χ502-2-22220-22-2-2-220000-220000000000000-2200−1+i31−i31−i3−1+i3−1+i3−1+i301−i3−1+i31−i31−i31−i3−1+i300001−i3−1+i300000000000001−i3−1+i300−1−i31+i31+i3−1−i3−1−i3−1−i301+i3−1−i31+i31+i31+i3−1−i300001+i3−1−i300000000000001+i3−1−i300
χ5144441-241-2-21-2111-2-2000022-1-10000-1-100000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i30000−1+i3−1+i31−i321−i3200001−i321−i3200000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i30000−1−i3−1−i31+i321+i3200001+i321+i3200000
χ5244441-241-2-21-2111-2-20000-2-21100001100000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i300001−i31−i3−1+i32−1+i320000−1+i32−1+i3200000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i300001+i31+i3−1−i32−1−i320000−1−i32−1−i3200000
χ5344441-2-41-2-21-21-1-12200002-2-1-100001100000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i31−i3−1+i321−i3−1+i321−i321−i32−1+i3−1+i30000−1+i31−i31−i321−i320000−1+i32−1+i3200000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i31+i3−1−i321+i3−1−i321+i321+i32−1−i3−1−i30000−1−i31+i31+i321+i320000−1−i32−1−i3200000
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χ9044441-2-41-2-21-21-1-1220000-22110000-1-100000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i31+i3−1−i321+i3−1−i321+i321+i32−1−i3−1−i300001+i3−1−i3−1−i32−1−i3200001+i321+i3200000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i31−i3−1+i321−i3−1+i321−i321−i32−1+i3−1+i300001−i3−1+i3−1+i32−1+i3200001−i321−i3200000
χ914444-214-211-21-2-2-21100220000-1-1-1-10000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i32−1−i321+i3−1−i321+i31+i31+i3−1−i32−1−i3200−1−i3−1−i300001+i321+i321+i321+i320000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i32−1+i321−i3−1+i321−i31−i31−i3−1+i32−1+i3200−1+i3−1+i300001−i321−i321−i321−i320000000
χ924444-214-211-21-2-2-21100-2-2000011110000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i32−1−i321+i3−1−i321+i31+i31+i3−1−i32−1−i32001+i31+i30000−1−i32−1−i32−1−i32−1−i320000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i32−1+i321−i3−1+i321−i31−i31−i3−1+i32−1+i32001−i31−i30000−1+i32−1+i32−1+i32−1+i320000000
χ934444-21-4-211-21-222-1-1002-20000-1-1110000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i32−1−i321+i3−1−i321+i3−1−i3−1−i31+i321+i3200−1−i31+i300001+i321+i32−1−i32−1−i320000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i32−1+i321−i3−1+i321−i3−1+i3−1+i31−i321−i3200−1+i31−i300001−i321−i32−1+i32−1+i320000000
χ944444-21-4-211-21-222-1-100-22000011-1-10000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i32−1−i321+i3−1−i321+i3−1−i3−1−i31+i321+i32001+i3−1−i30000−1−i32−1−i321+i321+i320000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i32−1+i321−i3−1+i321−i3−1+i3−1+i31−i321−i32001−i3−1+i30000−1+i32−1+i321−i321−i320000000
χ9544-4-4440-4-4-444-400000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i302+2i32+2i32+2i3−2−2i3−2−2i32+2i300000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i302−2i32−2i32−2i3−2+2i3−2+2i32−2i300000000000000000000000
χ9644-4-4-2102-1-1-212003-300000000−i3i3−i3i30000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i300−3−3i323+3i3200000000−3+i323−i32−3+i323−i320000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i300−3+3i323−3i32000000003+i32−3−i323+i32−3−i320000000
χ9744-4-4-2102-1-1-212003-300000000i3−i3i3−i30000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i300−3−3i323+3i32000000003−i32−3+i323−i32−3+i320000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i300−3+3i323−3i3200000000−3−i323+i32−3−i323+i320000000
χ9844-4-4-2102-1-1-21200-3300000000−i3i3i3−i30000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i3003+3i32−3−3i3200000000−3+i323−i323−i32−3+i320000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i3003−3i32−3+3i32000000003+i32−3−i32−3−i323+i320000000
χ9944-4-4-2102-1-1-21200-3300000000i3−i3−i3i30000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i3003+3i32−3−3i32000000003−i32−3+i32−3+i323−i320000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i3003−3i32−3+3i3200000000−3−i323+i323+i32−3−i320000000
χ1004-44-41-2012-2-12-13i−3i00000000−i3i300003−300000−2−2i32+2i3−2−2i32+2i3−1−i321+i30−1−i32−1−i31+i31+i32−1−i31+i323ζ11−3ζ1100000000−3+i323−i3200002ζ7+ζ11−2ζ7−ζ1100000−2+2i32−2i3−2+2i32−2i3−1+i321−i30−1+i32−1+i31−i31−i32−1+i31−i323ζ7−3ζ7000000003+i32−3−i320000−ζ7−2ζ11ζ7+2ζ1100000
χ1014-44-41-2012-2-12-13i−3i00000000i3−i30000−3300000−2−2i32+2i3−2−2i32+2i3−1−i321+i30−1−i32−1−i31+i31+i32−1−i31+i323ζ11−3ζ11000000003−i32−3+i320000−2ζ7−ζ112ζ7+ζ1100000−2+2i32−2i3−2+2i32−2i3−1+i321−i30−1+i32−1+i31−i31−i32−1+i31−i323ζ7−3ζ700000000−3−i323+i320000ζ7+2ζ11−ζ7−2ζ1100000
χ1024-44-41-2012-2-12-1−3i3i00000000−i3i30000−3300000−2−2i32+2i3−2−2i32+2i3−1−i321+i30−1−i32−1−i31+i31+i32−1−i31+i32−3ζ113ζ1100000000−3+i323−i320000−2ζ7−ζ112ζ7+ζ1100000−2+2i32−2i3−2+2i32−2i3−1+i321−i30−1+i32−1+i31−i31−i32−1+i31−i32−3ζ73ζ7000000003+i32−3−i320000ζ7+2ζ11−ζ7−2ζ1100000
χ1034-44-41-2012-2-12-1−3i3i00000000i3−i300003−300000−2−2i32+2i3−2−2i32+2i3−1−i321+i30−1−i32−1−i31+i31+i32−1−i31+i32−3ζ113ζ11000000003−i32−3+i3200002ζ7+ζ11−2ζ7−ζ1100000−2+2i32−2i3−2+2i32−2i3−1+i321−i30−1+i32−1+i31−i31−i32−1+i31−i32−3ζ73ζ700000000−3−i323+i320000−ζ7−2ζ11ζ7+2ζ1100000
χ1044-44-44404-44-4-4-400000000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i3−2−2i30−2−2i32+2i3−2−2i32+2i32+2i32+2i300000000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i3−2+2i30−2+2i32−2i3−2+2i32−2i32−2i32−2i300000000000000000000000
χ10588-8-82-40-2442-4-200000000000000000000000−4−4i3−4−4i34+4i34+4i3−1−i32+2i301+i3−2−2i3−2−2i3−1−i32+2i31+i300000000000000000000000−4+4i3−4+4i34−4i34−4i3−1+i32−2i301−i3−2+2i3−2+2i3−1+i32−2i31−i300000000000000000000000
χ1068-88-8-420-4-224-2400000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i302+2i31+i3−1−i3−2−2i31+i3−2−2i300000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+i302−2i31−i3−1+i3−2+2i31−i3−2+2i300000000000000000000000
χ1078-8-882-40-2-44-24200000000000000000000000−4−4i34+4i34+4i3−4−4i3−1−i32+2i301+i32+2i3−2−2i31+i3−2−2i3−1−i300000000000000000000000−4+4i34−4i34−4i3−4+4i3−1+i32−2i301−i32−2i3−2+2i31−i3−2+2i3−1+i300000000000000000000000
χ1088-8-88-42042-24-2-400000000000000000000000−4−4i34+4i34+4i3−4−4i32+2i3−1−i30−2−2i3−1−i31+i3−2−2i31+i32+2i300000000000000000000000−4+4i34−4i34−4i3−4+4i32−2i3−1+i30−2+2i3−1+i31−i3−2+2i31−i32−2i300000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.